Volume of Prisms and Cubes

The video tutorial covers the concept of volume calculation using unit cubes, focusing on different examples and methods. It begins with an introduction to volume calculation using one-inch cubes, followed by examples involving miniature dice and one-fourth inch cubes. The tutorial also explores problem-solving with fractions, toy packaging, and comparing cube sizes. Various methods for calculating volume are demonstrated, providing a comprehensive understanding of the topic.

What is the volume of a prism that can hold 240 one-inch cubes?

• 120 cubic inches

• 360 cubic inches

• 480 cubic inches

• 240 cubic inches

How many half-inch cubes can fit into a prism with a volume of 240 cubic inches?

• 1920 cubes

• 960 cubes

• 480 cubes

• 2400 cubes

What is the volume of a prism filled with one-fourth inch cubes if it holds 360 cubes?

• 15 cubic inches

• 10 cubic inches

• 5 and 5/8 cubic inches

• 20 cubic inches

If a prism is filled with cubes of side length one-third, how many cubes fit in one cubic unit?

• 8 cubes

• 16 cubes

• 27 cubes

• 64 cubes

What is the volume of a rectangular prism with dimensions 2 and 3/4, 1/2, and 1 and 1/4?

• 3 cubic centimeters

• 2 cubic centimeters

• 4 cubic centimeters

• 1 and 23/32 cubic centimeters

How many small toy boxes with side lengths of one-half inch can fit into a larger box with dimensions 12x4.5x3.5 inches?

• 512 boxes

• 2048 boxes

• 1512 boxes

• 1024 boxes

Why does it take more cubes with third unit side lengths to fill a prism than cubes with half unit side lengths?

• Third unit cubes are larger

• Third unit cubes are smaller

• Half unit cubes are smaller

• Both are the same size

What is the volume of a rectangular prism using the method of breaking it into one-fourth cubes?

• 5 and 1/16 meters cubed

• 6 meters cubed

• 7 meters cubed

• 8 meters cubed